Question

Given below are two statements:
Statement I: If heat is added to a system, its temperature must increase.
Statement II: If positive work is done by a system in a thermodynamic process, its volume must increase.
In the light of the above statements, choose the correct answer from the options given below

• A. Both Statement I and Statement II are true
• B. Both Statement I and Statement II are false
• C. Statement I is true but Statement II is false
• D. Statement I is false but Statement II is true

Answer 1

The Correct Option is D

Step 1: Analyze Statement I 

• Heat can be added without a temperature increase in processes like phase transitions or isothermal processes.
• For example, during the melting of ice or boiling of water, heat is added to facilitate the phase change without changing the temperature.
• Hence, Statement I is false.

Step 2: Analyze Statement II

• Work done, \( w = P \Delta V \), depends on the change in volume under constant pressure.
• Positive work implies an increase in volume (\( \Delta V > 0 \)).
• Hence, Statement II is true.

Final Answer:

Statement I is false, but Statement II is true.